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Finding the Third Proportional to 87,276 and 138,420

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Solution

The third proportional to 87,276 and 138,420 is: 219,534.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,276 : 138,420 = 138,420 : x
  2. Step 2: Convert to fraction form
    87,276/138,420 = 138,420/x
  3. Step 3: Cross multiply
    87,276x = 138,420 × 138,420
  4. Step 4: Simplify right side
    87,276x = 19,160,096,400
  5. Step 5: Solve for x
    x = 19,160,096,400/87,276
  6. Step 6: Final answer
    x = 219,534.54

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.